Poles of maximal order of motivic zeta functions

DOI10.1215/00127094-3165648zbMath1366.14008arXiv1403.6792OpenAlexW122022215MaRDI QIDQ254757

Johannes Nicaise, Chen Yang Xu

Publication date: 16 March 2016

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.6792

zbMATH Keywords

minimal model programdegenerationsBerkovich spacesmotivic zeta functions

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Fibrations, degenerations in algebraic geometry (14D06) Minimal model program (Mori theory, extremal rays) (14E30) Rigid analytic geometry (14G22)

Related Items (13)

Introduction to 𝑝-adic Igusa zeta functions ⋮ On maximal order poles of generalized topological zeta functions ⋮ Igusa zeta functions and the non-archimedean SYZ fibration ⋮ Lefschetz numbers of Verdier monodromy and the motivic monodromy conjecture for toric varieties ⋮ Motivic zeta functions of degenerating Calabi-Yau varieties ⋮ The non-archimedean SYZ fibration ⋮ What is the Monodromy Property for Degenerations of Calabi-Yau Varieties? ⋮ Tropical and non-Archimedean limits of degenerating families of volume forms ⋮ The motivic Igusa zeta function of a space monomial curve with a plane semigroup ⋮ IGUSA’S CONJECTURE FOR EXPONENTIAL SUMS: OPTIMAL ESTIMATES FOR NONRATIONAL SINGULARITIES ⋮ On the motivic oscillation index and bound of exponential sums modulo \(p^m\) via analytic isomorphisms ⋮ Berkovich Skeleta and Birational Geometry ⋮ Unnamed Item

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